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av_fq_isog • Show schema
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{'abvar_count': 1550, 'abvar_counts': [1550, 1931300, 2574427550, 3518249210000, 4806607301988750, 6582817871926513700, 9012091375559110483550, 12337512636925813352960000, 16890058629670487797094701550, 23122483044392847699142346182500], 'abvar_counts_str': '1550 1931300 2574427550 3518249210000 4806607301988750 6582817871926513700 9012091375559110483550 12337512636925813352960000 16890058629670487797094701550 23122483044392847699142346182500 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.363137813432596, 0.767854762106775], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 42, 'curve_counts': [42, 1410, 50826, 1877238, 69315442, 2565674130, 94932193986, 3512479659678, 129961776876042, 4808584243010050], 'curve_counts_str': '42 1410 50826 1877238 69315442 2565674130 94932193986 3512479659678 129961776876042 4808584243010050 ', 'curves': ['y^2=2*x^6+8*x^5+14*x^4+28*x^3+7*x^2+20*x+10', 'y^2=x^6+15*x^5+4*x^4+21*x^3+11*x^2+12*x+15', 'y^2=5*x^6+27*x^5+12*x^4+12*x^3+24*x^2+30*x+18', 'y^2=17*x^6+29*x^5+28*x^4+34*x^3+19*x^2+30*x+3', 'y^2=35*x^6+8*x^5+7*x^4+2*x^3+x^2+13', 'y^2=19*x^6+11*x^5+11*x^4+3*x^3+6*x^2+15*x+1', 'y^2=35*x^6+36*x^5+18*x^4+29*x^3+21*x^2+34*x+32', 'y^2=10*x^5+12*x^4+8*x^3+27*x^2+19*x+3', 'y^2=19*x^6+7*x^5+29*x^4+36*x^3+36*x^2+16', 'y^2=25*x^6+29*x^5+11*x^4+10*x^3+7*x^2+33*x+18', 'y^2=30*x^6+15*x^5+35*x^4+32*x^3+10*x^2+x+3', 'y^2=33*x^6+23*x^5+29*x^4+21*x^3+19*x^2+26*x+21', 'y^2=5*x^5+21*x^4+32*x^3+36*x^2+26*x+11', 'y^2=27*x^6+25*x^5+30*x^4+11*x^3+27*x^2+35*x+4', 'y^2=12*x^6+34*x^5+x^4+18*x^3+35*x^2+27*x+25', 'y^2=8*x^6+31*x^5+16*x^4+26*x^3+12*x^2+2*x+16', 'y^2=18*x^6+22*x^5+11*x^4+10*x^3+35*x^2+15*x+21', 'y^2=25*x^6+33*x^5+20*x^4+20*x^3+16*x^2+18*x', 'y^2=31*x^6+3*x^5+27*x^4+35*x^3+27*x^2+31*x+36', 'y^2=13*x^6+24*x^5+17*x^4+4*x^3+x^2+27*x+33', 'y^2=10*x^6+22*x^5+23*x^4+5*x^2+15*x+1', 'y^2=36*x^6+30*x^5+10*x^4+28*x^3+11*x^2+5*x+9', 'y^2=19*x^6+36*x^5+20*x^4+20*x^3+2*x+26', 'y^2=23*x^6+27*x^5+24*x^4+25*x^3+15*x^2+19*x+10', 'y^2=18*x^6+25*x^5+30*x^4+2*x^3+21*x^2+15*x', 'y^2=26*x^6+13*x^5+23*x^4+34*x^3+4*x^2+34*x+26', 'y^2=3*x^6+34*x^5+6*x^4+28*x^3+35*x^2+15*x+10', 'y^2=23*x^6+15*x^5+12*x^4+4*x^3+32*x+11', 'y^2=25*x^6+25*x^5+21*x^4+36*x^3+14*x^2+17*x+6', 'y^2=16*x^6+2*x^5+22*x^4+11*x^3+x^2+28*x+12', 'y^2=29*x^6+15*x^5+8*x^4+36*x^3+22*x^2+11*x+25', 'y^2=16*x^6+35*x^5+19*x^4+12*x^3+28*x^2+3*x+5', 'y^2=33*x^6+25*x^5+36*x^4+34*x^3+18*x^2+4*x+27', 'y^2=25*x^5+18*x^4+3*x^3+16*x^2+28*x+13', 'y^2=11*x^6+27*x^5+14*x^4+25*x^3+27*x^2+31*x', 'y^2=24*x^6+31*x^5+32*x^4+10*x^3+20*x^2+9*x+15', 'y^2=11*x^6+11*x^5+32*x^4+33*x^3+31*x^2+34*x+6', 'y^2=16*x^6+22*x^5+6*x^4+21*x^3+12*x^2+9*x+24', 'y^2=8*x^6+23*x^5+24*x^4+x^3+29*x^2+24*x+27', 'y^2=26*x^6+5*x^5+8*x^4+35*x^3+18*x^2+35*x+26', 'y^2=36*x^6+8*x^5+4*x^4+20*x^3+14*x^2+25*x+25', 'y^2=33*x^6+17*x^5+11*x^4+31*x^3+20*x^2+23*x+15', 'y^2=22*x^6+27*x^5+35*x^4+26*x^3+23*x^2+5*x+8', 'y^2=32*x^6+29*x^5+10*x^4+33*x^3+27*x^2+2*x+16', 'y^2=30*x^6+5*x^5+4*x^4+26*x^3+13*x+3', 'y^2=5*x^6+35*x^5+4*x^4+21*x^3+3*x^2+17*x+5', 'y^2=25*x^6+14*x^5+31*x^4+35*x^3+26*x^2+23*x+6', 'y^2=7*x^6+8*x^5+3*x^4+3*x^3+18*x^2+9*x+5', 'y^2=19*x^6+5*x^5+10*x^4+33*x^3+8*x^2+16*x+6', 'y^2=6*x^6+22*x^5+33*x^4+4*x^3+28*x^2+34*x+33', 'y^2=3*x^6+3*x^5+21*x^4+22*x^3+32*x^2+28*x+3', 'y^2=6*x^6+6*x^5+29*x^4+6*x^3+31*x^2+5*x+21', 'y^2=30*x^6+17*x^5+10*x^3+18*x^2+11*x+17', 'y^2=22*x^6+26*x^5+27*x^4+26*x^3+18*x^2+3*x', 'y^2=26*x^6+15*x^5+3*x^4+30*x^3+18*x^2+10*x', 'y^2=31*x^6+2*x^5+5*x^4+7*x^3+19*x^2+29*x+29', 'y^2=23*x^6+14*x^5+29*x^4+9*x^3+24*x^2+10*x+5', 'y^2=26*x^6+7*x^5+2*x^4+15*x^3+31*x^2+33*x+5', 'y^2=16*x^6+24*x^5+34*x^4+7*x^3+x^2+30*x+17', 'y^2=24*x^6+7*x^5+12*x^4+29*x^3+36*x+32', 'y^2=5*x^6+23*x^5+24*x^4+31*x^3+7*x^2+10*x+18', 'y^2=3*x^6+20*x^5+3*x^4+11*x^3+9*x^2+12*x+15', 'y^2=8*x^6+18*x^5+31*x^4+21*x^3+25*x^2+28*x+13', 'y^2=31*x^6+12*x^5+13*x^4+19*x^3+28*x^2+32*x+18', 'y^2=35*x^6+20*x^5+30*x^4+5*x^3+26*x^2+24*x+6', 'y^2=17*x^6+x^5+9*x^4+33*x^3+27*x^2+21*x+13', 'y^2=32*x^6+33*x^5+10*x^4+35*x^2+26*x+14', 'y^2=28*x^6+4*x^5+23*x^4+17*x^3+21*x^2+9', 'y^2=13*x^6+x^5+33*x^4+24*x^3+16*x^2+28*x+12', 'y^2=14*x^6+29*x^5+35*x^4+13*x^3+21*x^2+31*x+21', 'y^2=30*x^6+23*x^5+30*x^4+15*x^3+13*x^2+16*x+9', 'y^2=16*x^6+28*x^5+22*x^4+21*x^3+23*x^2+x+4', 'y^2=8*x^6+23*x^5+26*x^4+34*x^3+3*x^2+2*x+9', 'y^2=7*x^6+18*x^5+5*x^4+35*x^3+25*x^2+22*x+15', 'y^2=24*x^6+19*x^5+8*x^4+7*x^3+23*x^2+24*x+25', 'y^2=18*x^6+34*x^5+34*x^4+4*x^3+2*x^2+35*x+7', 'y^2=34*x^6+32*x^5+19*x^4+31*x^3+32*x^2+23*x+35', 'y^2=28*x^6+29*x^5+17*x^4+14*x^3+15*x^2+35*x+6', 'y^2=19*x^6+34*x^5+28*x^4+16*x^3+24*x^2+15*x+1', 'y^2=3*x^6+24*x^5+24*x^4+3*x^3+28*x+15', 'y^2=32*x^6+16*x^5+32*x^4+12*x^3+16*x^2+12*x+5', 'y^2=22*x^6+33*x^5+4*x^4+29*x^2+31*x+18', 'y^2=22*x^6+22*x^5+31*x^4+9*x^3+9*x^2+34*x+35', 'y^2=11*x^6+x^5+36*x^4+13*x^3+31*x^2+36*x+13', 'y^2=33*x^6+16*x^5+19*x^3+12*x^2+18*x+25', 'y^2=36*x^6+23*x^5+9*x^4+21*x^3+18*x^2+23*x+28', 'y^2=33*x^6+3*x^5+x^4+32*x^3+26*x^2+36*x+36', 'y^2=32*x^6+10*x^5+22*x^4+11*x^3+27*x^2+24*x+22', 'y^2=6*x^6+9*x^4+28*x^3+12*x^2+32*x+33', 'y^2=28*x^6+2*x^5+35*x^4+34*x^3+10*x^2+19*x+23', 'y^2=25*x^6+22*x^5+5*x^4+7*x^3+21*x^2+32*x+28', 'y^2=24*x^6+5*x^5+27*x^4+30*x^3+36*x^2+4*x+32', 'y^2=3*x^6+x^5+15*x^4+10*x^3+14*x^2+28*x+2', 'y^2=9*x^6+20*x^5+7*x^4+26*x^3+14*x^2+10*x+12', 'y^2=30*x^6+13*x^5+32*x^4+25*x^3+21*x^2+28*x+22', 'y^2=3*x^6+22*x^5+8*x^4+23*x^3+27*x^2+24*x+15', 'y^2=15*x^6+8*x^5+15*x^4+14*x^3+11*x^2+22*x+15', 'y^2=18*x^6+27*x^5+21*x^3+26*x^2+7*x+3', 'y^2=33*x^6+12*x^5+14*x^4+16*x^3+12*x^2+25*x+13', 'y^2=8*x^6+30*x^5+30*x^4+23*x^3+15*x^2+8*x+35', 'y^2=32*x^6+13*x^5+34*x^4+4*x^3+5*x^2+24*x+1', 'y^2=2*x^6+25*x^5+36*x^4+29*x^3+9*x^2+14*x', 'y^2=27*x^6+7*x^5+17*x^4+30*x^3+23*x^2+10*x+13', 'y^2=10*x^6+13*x^5+28*x^4+20*x^3+22*x^2+4*x+19', 'y^2=22*x^6+28*x^5+31*x^4+27*x^3+16*x^2+27*x+27', 'y^2=33*x^6+23*x^5+6*x^4+24*x^3+13*x^2+21*x+9', 'y^2=24*x^6+x^5+17*x^4+6*x^2+17*x+20', 'y^2=14*x^6+31*x^5+4*x^4+9*x^3+36*x+33', 'y^2=28*x^6+31*x^5+4*x^4+2*x^2+23*x+20', 'y^2=15*x^6+32*x^5+19*x^4+x^3+31*x^2+31', 'y^2=3*x^6+8*x^5+10*x^4+7*x^3+8*x^2+7*x+1', 'y^2=19*x^6+21*x^5+17*x^4+16*x^3+31*x^2+33*x+3', 'y^2=22*x^6+20*x^5+12*x^4+17*x^3+13*x^2+14*x+21', 'y^2=33*x^6+22*x^5+23*x^4+33*x^3+6*x^2+24*x+17', 'y^2=35*x^6+20*x^5+14*x^4+21*x^3+23*x^2+23*x+16', 'y^2=4*x^6+34*x^5+3*x^4+18*x^3+27*x^2+30*x+5', 'y^2=33*x^6+26*x^5+21*x^4+4*x^3+2*x^2+4*x+22', 'y^2=24*x^6+x^5+26*x^4+35*x^3+13*x^2+3*x+36', 'y^2=x^6+13*x^5+31*x^4+13*x^3+31*x^2+36', 'y^2=9*x^6+11*x^5+24*x^4+28*x^3+24*x^2+23*x+22', 'y^2=25*x^6+3*x^5+2*x^4+34*x^3+13*x^2+16*x+14', 'y^2=x^6+32*x^5+22*x^4+35*x^3+26*x^2+8*x+16', 'y^2=12*x^6+29*x^5+35*x^4+6*x^3+36*x^2+18*x+35', 'y^2=36*x^6+11*x^5+34*x^4+35*x^3+34*x^2+34*x+25', 'y^2=2*x^6+x^5+18*x^4+29*x^3+29*x^2+31*x+21', 'y^2=5*x^6+25*x^5+24*x^4+27*x^3+13*x^2+19*x+1'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 1, 'dim2_factors': 1, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 8, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, 'geom_dim3_distinct': 0, 'geom_dim3_factors': 0, 'geom_dim4_distinct': 0, 'geom_dim4_factors': 0, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['4T3'], 'geometric_number_fields': ['4.0.10496.2'], 'geometric_splitting_field': '4.0.10496.2', 'geometric_splitting_polynomials': [[14, -4, 6, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 126, 'is_cyclic': False, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 126, 'label': '2.37.e_bc', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [5], 'number_fields': ['4.0.10496.2'], 'p': 37, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 4, 28, 148, 1369], 'poly_str': '1 4 28 148 1369 ', 'primitive_models': [], 'q': 37, 'real_poly': [1, 4, -46], 'simple_distinct': ['2.37.e_bc'], 'simple_factors': ['2.37.e_bcA'], 'simple_multiplicities': [1], 'singular_primes': ['5,F+2*V+5', '5,8*V+37', '7,-3*F-7*V-33'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.10496.2', 'splitting_polynomials': [[14, -4, 6, 0, 1]], 'twist_count': 2, 'twists': [['2.37.ae_bc', '2.1369.bo_dly', 2]], 'weak_equivalence_count': 8, 'zfv_index': 175, 'zfv_index_factorization': [[5, 2], [7, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 5, 'zfv_plus_index_factorization': [[5, 1]], 'zfv_plus_norm': 8036, 'zfv_singular_count': 6, 'zfv_singular_primes': ['5,F+2*V+5', '5,8*V+37', '7,-3*F-7*V-33']}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.37.e_bc', 'extension_degree': 1, 'extension_label': '2.37.e_bc', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.10496.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.37.e_bc', 'galois_group': '4T3', 'places': [['30', '10', '16', '21'], ['1', '2', '20', '17']]}
